26314000 has 80 divisors (see below), whose sum is σ = 64995840. Its totient is φ = 10300800.

The previous prime is 26313953. The next prime is 26314003. The reversal of 26314000 is 41362.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (26314003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117889 + ... + 118111.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^26314000 is an apocalyptic number.

26314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

26314000 is an abundant number, since it is smaller than the sum of its proper divisors (38681840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26314000 is a wasteful number, since it uses less digits than its factorization.

26314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 26314000 is about 5129.7173411407. The cubic root of 26314000 is about 297.4374324087.

Adding to 26314000 its reverse (41362), we get a palindrome (26355362).

The spelling of 26314000 in words is "twenty-six million, three hundred fourteen thousand".